12605049600 has 432 divisors, whose sum is σ = 48882537984. Its totient is φ = 2820096000.

The previous prime is 12605049599. The next prime is 12605049601. The reversal of 12605049600 is 694050621.

It is an interprime number because it is at equal distance from previous prime (12605049599) and next prime (12605049601).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12605049601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743305 + ... + 2747895.

Almost surely, 2^12605049600 is an apocalyptic number.

12605049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12605049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24441268992).

12605049600 is an abundant number, since it is smaller than the sum of its proper divisors (36277488384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12605049600 is a wasteful number, since it uses less digits than its factorization.

12605049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 12605049600 in words is "twelve billion, six hundred five million, forty-nine thousand, six hundred".